Search a number
-
+
212133310119097 is a prime number
BaseRepresentation
bin110000001110111100100010…
…100110000011110010111001
31000211002202011010012212202021
4300032330202212003302321
5210301043004342302342
62031100410342034441
762453061115543423
oct6016744246036271
91024082133185667
10212133310119097
11616572602927a4
121b960a34418a21
13914a115569433
143a5544255d813
15197d11a724567
hexc0ef22983cb9

212133310119097 has 2 divisors, whose sum is σ = 212133310119098. Its totient is φ = 212133310119096.

The previous prime is 212133310119091. The next prime is 212133310119169. The reversal of 212133310119097 is 790911013331212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 138705360600976 + 73427949518121 = 11777324^2 + 8569011^2 .

It is a cyclic number.

It is not a de Polignac number, because 212133310119097 - 211 = 212133310117049 is a prime.

It is not a weakly prime, because it can be changed into another prime (212133310119091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106066655059548 + 106066655059549.

It is an arithmetic number, because the mean of its divisors is an integer number (106066655059549).

Almost surely, 2212133310119097 is an apocalyptic number.

It is an amenable number.

212133310119097 is a deficient number, since it is larger than the sum of its proper divisors (1).

212133310119097 is an equidigital number, since it uses as much as digits as its factorization.

212133310119097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61236, while the sum is 43.

The spelling of 212133310119097 in words is "two hundred twelve trillion, one hundred thirty-three billion, three hundred ten million, one hundred nineteen thousand, ninety-seven".